Question

What is the equation of the line that passes through the point (-2,-2) and
has a slope of 42

Answer 1

The answer is

`y = 42x + 82`

Explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

`y - y_1 = m(x - x_1)`

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope 42

The equation of the line is

`y + 2 = 42(x + 2) \\ y + 2 = 42x + 84 \\ y = 42x + 84 - 2`

We have the final answer as

`y = 42x + 82`

Hope this helps you